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|a Shankar, Ananth
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Tsimerman, Jacob
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|a UNLIKELY INTERSECTIONS IN FINITE CHARACTERISTIC
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|b Cambridge University Press (CUP),
|c 2019-11-07T18:06:42Z.
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|z Get fulltext
|u https://hdl.handle.net/1721.1/122793
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|a We present a heuristic argument based on Honda-Tate theory against many conjectures in 'unlikely intersections' over the algebraic closure of a finite field; notably, we conjecture that every abelian variety of dimension 4 is isogenous to a Jacobian. Using methods of additive combinatorics, we answer a related question of Chai and Oort where the ambient Shimura variety is a power of the modular curve.
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|a Article
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|t Forum of Mathematics, Sigma
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